Answer:
12 2/12
or 12 1/6 ( simplified fraction)
Step-by-step explanation:
first add the whole numbers together :7+5-4+3=12-1=11 ( same denominator 12)
1/12 +7/12 -5/12 +11/12 = 14/12 ( improper fraction)
= 1 2/12 mixed fraction
11 + 1 2/12=12 2/12 or 12 1/6 ( simplified fraction)
Answer:
5120oz/12=426.667 ounces.
Step-by-step explanation:
We know 1 pound = 16 oz. If we want to find out how many ounces are in 320 lbs, we must multiply 16 by 320 = 5120 ounces. Now we must divide by 12 to see how much she ate per month. 5120 divided by 12 is 426.667 or 426 and 2/3 ounces per month.
Alternatively, we can set up a proportion 1 lb / 16 ounces = 320 lb / x ounces. We cross multiply 1 times x = 320 times 15. On the left hand side we just have x and on the right hand side we get 5120. Hence, x=5120 ounces per year. To find how many she ate per month we must divide by 12 since there are 12 months in a year. So it comes out to 426 and 2/3 ounces per month.
Here are the equations: (1lb)(320lb)=(16oz)(320oz) implies 320lb=5120oz. Then divide 5120oz 12 to get how much she ate per month: 5120oz/12=426.667 ounces.
Answer: Line of Symmetry means that there should be a line that makes both halfs of the shape, identical.
Step-by-step explanation:
If you draw a line on the girst parallelogram, then you see that the left side does not mirror the right side, thus not being symmetrical. The second shape that looks like a pentagon would by symmetrical and you wold draw the line right down the middle because then the left side would mirror the right side.
The other shape that would work would be the bottom left shape because if you draw a line of symmetry right down the middle of that shape, you can see that both sides are symmetrical and that the left side would mirror the right side.
Answer:
a) The half life of the substance is 22.76 years.
b) 5.34 years for the sample to decay to 85% of its original amount
Step-by-step explanation:
The amount of the radioactive substance after t years is modeled by the following equation:
In which P(0) is the initial amount and r is the decay rate.
A sample of a radioactive substance decayed to 97% of its original amount after a year.
This means that:
Then
So
(a) What is the half-life of the substance?
This is t for which P(t) = 0.5P(0). So
The half life of the substance is 22.76 years.
(b) How long would it take the sample to decay to 85% of its original amount?
This is t for which P(t) = 0.85P(0). So
5.34 years for the sample to decay to 85% of its original amount
I'm assuming we're solving for x.
One property of a straight line is that the angles that make a straight line have to add up to 180 degrees.
Given this information, we know that 4x + 5 + 41 = 180
4x + 46 = 180
4x = 134
x = 134/4 = 33.5
